Gents, I don't want to be controversial but I believe that it is very important to make a distinction between what we might call "primitive camping" and "in extremis survival." While cross-pollination between these skillsets exist, they are distinct IMHO. I apologize in advance for the lengthy post.
Here is what I mean. Primitive camping-type schools often feature training in subjects like natural shelter construction and fire-by-friction methods. Do these things require skill? Hell, yes. But I do not believe that they can be relied upon in a serious survival situation with attendant risks to life and limb. To me, a survival situation is one that combines extreme time sensitivity with geometric consequences---you have to make a decision and act quickly and that decision will decide whether you live or die. I no longer believe that it is possible to build a firebow or debris hut quickly enough for it to save your life in a true survival situation, and I am very uneasy about how much these skills depend on you having the use of both arms and legs.
This is not meant to criticize anyone out there doing good training (these topics are deeply personal and I recognize that)and I am very willing to be proven wrong, but a survival school must help you to: A) construct a pre-event checklist and make high-quality decisions about what to bring, how to use it, who to tell where you are going, etc.; B) utilize a simple decision tree with a logical sequence of basic, quickly answered questions regarding medical status, immediate shelter needs, etc. If land nav, signal, and first aid considerations are not included in a given program's POI, I suspect that these needs have been "assumed away" and primitive camping skills are going to be covered.
Let's be very honest here: to end up in a wilderness survival situation, you pretty much have to volunteer yourself for some level of risk in the outdoors. The sole exception to this might be a commercial plane crash in a remote area, but such an event will be followed by costs-are-not-an-issue SAR efforts. In my own experience as a hunter, the general progression of a survival scenario goes something like this:
Pre-Trip
1. You develop and cultivate fieldcraft and contingency skills (or don't).
2. You get in good physical condition (or don't).
3. You do some research on the wilderness area that you will be visiting and the extremes of the weather conditions, terrain, SAR facilities nearby, etc. there (or don't).
4. You make an intelligent, primary- and contingency-based packing list informed by both a desire to have fun and a knowledge that Nature is not there for your entertainment/safety (or don't).
5. You tell people where you are going and what to do if you miss some kind of important deadline (or don't).
These five things probably account for 70%-80% of survivability, the rest being a combination of luck, randomness, and the ability to just control your more self-destructive emotions under conditions of great stress. I would submit that there is probably a high degree of correlation between the person who is well-prepared and the personality type that can avoid hurting himself/herself in a crazed "amygdala-hijacking" during a survival situation in the woods.
During The Trip
1. (For hunters, at least) You establish a base camp from which to conduct intraday stalks. In remote areas, this may be a tent, tipi, or even a primitive camp of some kind. In less remote, it may be your truck. In even less remote, it may be an established hunting lodge. Regardless, this camp will generally provide good shelter and comfort, be stocked with food and water, and have readily-available means of fire-starting available. The key thing to remember here is that this camp IS NORMALLY CONSTRUCTED UNDER RELATIVELY PLEASANT CONDITIONS, BY PEOPLE OPERATING WITH THEIR FULL PHYSICAL AND MENTAL FACULTIES AND WITHOUT EXTREME, HIGH-STAKES, TIME-SENSITIVE DECISION-MAKING FORCED ON THEM.
2. You go out on your daytrip, bringing minimal gear and your scoped rifle or bow. You plan on getting back to camp before nightfall. Something goes wrong. This usually takes at least one of three forms: you injure yourself, you get lost, or sudden inclement weather sets in and you cannot travel. This is where "survival" sets in---the rest is camping. Often, the worst situations occur when you are caught out in an exposed position above the treeline or in a marsh/moor area with no protection from the wind. Nature is not going to help you out a lot in these situations---that's why they are "survival" scenarios in the first place!
Primitive camping has an incredible amount to recommend it and it requires a host of highly developed skills and patience, but you still need a small battery of pure survival skills and contingency equipment to make your trip a safe one.
Just my two-cents. Please note that I refrain from trying to persuade you towards any particular school or instructor---that was not the point of this whole, lengthy post.